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541154101057 is a prime number
BaseRepresentation
bin1111101111111110100…
…11000100011101000001
31220201210221220122202121
413313333103010131001
532331240422213212
61052334110244241
754045205651303
oct7677723043501
91821727818677
10541154101057
11199558422769
1288a674b6681
133c052343c6b
141c298bb3973
15e123adad07
hex7dff4c4741

541154101057 has 2 divisors, whose sum is σ = 541154101058. Its totient is φ = 541154101056.

The previous prime is 541154100967. The next prime is 541154101087. The reversal of 541154101057 is 750101451145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406487854096 + 134666246961 = 637564^2 + 366969^2 .

It is a cyclic number.

It is not a de Polignac number, because 541154101057 - 235 = 506794362689 is a prime.

It is a super-2 number, since 2×5411541010572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (541154101087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270577050528 + 270577050529.

It is an arithmetic number, because the mean of its divisors is an integer number (270577050529).

Almost surely, 2541154101057 is an apocalyptic number.

It is an amenable number.

541154101057 is a deficient number, since it is larger than the sum of its proper divisors (1).

541154101057 is an equidigital number, since it uses as much as digits as its factorization.

541154101057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14000, while the sum is 34.

The spelling of 541154101057 in words is "five hundred forty-one billion, one hundred fifty-four million, one hundred one thousand, fifty-seven".